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Math · Grade 5 Math · Unit 2

Unit 2: Fractions as Quotients and Fraction Multiplication

Students develop an understanding of fractions as the division of the numerator by the denominator, and solve problems that involve the multiplication of a whole number and a fraction, including fractions greater than 1.

Worksheets

Every sheet has an answer key. Free to print, no login.

Unit
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Concept
Set 1
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Set 2
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Practice
Set 1
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Set 2
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Set 3
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Set 4
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Advanced
Set 1
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Set 2
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Set 3
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Set 4
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What this unit covers

A Fractions as Quotients · 5 lessons
Goals
  • Represent and explain the relationship between division and fractions.
  • Solve problems involving division of whole numbers leading to answers that are fractions.
Lessons
  1. Share Sandwiches
  2. Share More Sandwiches
  3. Interpret Equations
  4. Division Situations
  5. Relate Division and Fractions
B Fractions of Whole Numbers · 3 lessons
Goals
  • Connect division to multiplication of a whole number by a non-unit fraction.
  • Connect division to multiplication of a whole number by a unit fraction.
  • Explore the relationship between multiplication and division.
Lessons
  1. Relate Division and Multiplication
  2. Divide to Multiply Unit Fractions
  3. Divide to Multiply Non-Unit Fractions
C Area and Fractional Side Lengths · 9 lessons
Goals
  • Find the area of a rectangle when one side length is a whole number and the other side length is a fraction or mixed number.
  • Represent and solve problems involving the multiplication of a whole number by a fraction or mixed number.
  • Write, interpret, and evaluate numerical expressions that represent multiplication of a whole number by a fraction or mixed number.
Lessons
  1. Relate Area to Multiplication
  2. Fractional Side Lengths Less than 1
  3. Fractional Side Lengths Greater than 1
  4. Decompose Area
  5. Area and Properties of Operations
  6. Area Situations
  7. Multiply More Fractions
  8. Estimate Products (Optional)
  9. Mosaic Pictures (Optional)

Helpful to know first

The curriculum says this unit builds on these.

Grade 4 Math · Unit 3 Extending Operations to Fractions
Open unit →
← Unit 1 See the whole map Unit 3 →

Adapted from the Illustrative Mathematics curriculum (v.360), licensed CC BY-NC 4.0. © Illustrative Mathematics.